Mathematics
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OpenStudy (anonymous):
is f'(x) of f(x)=3x^2 e^-2
x^2 -2?
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OpenStudy (anonymous):
my bad, it is e^-x
OpenStudy (anonymous):
too bad you cant edit
OpenStudy (anonymous):
s0 (3x^2)(e^-x)(x^2) -2 ??
OpenStudy (anonymous):
(6xe^-x)-3x^2 e^-x
use the product rule, u will get the answer
OpenStudy (anonymous):
F(x) = (3x^2)(e^-x)
What is f'(x)?
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OpenStudy (anonymous):
I got x^2 - 2
OpenStudy (anonymous):
d{(3x^2)(e^-x)}/dx= 3x^2 d(e^-x)/dx + (e^-x) d(3x^2)/dx = (6xe^-x)-3x^2 e^-x
OpenStudy (anonymous):
now factor out -3x
OpenStudy (anonymous):
and e^-x
OpenStudy (anonymous):
yep, it will be:
(3xe^-x)(2-x)
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OpenStudy (anonymous):
So where am i goofing up? (3x^2)(-1e^-x) + (e^-x)(6x)
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
so -3x^2 + 6x after e^-x is factored out
OpenStudy (anonymous):
also take common 3x
OpenStudy (anonymous):
so we are left with -x+2?
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OpenStudy (anonymous):
yep, thats what i wrote before ^^
OpenStudy (anonymous):
ok, I was only a little backwards. thanks
OpenStudy (anonymous):
welcome..
OpenStudy (anonymous):
and f''(x) is 1...
OpenStudy (anonymous):
i have to check, but i dont think so.. again u have to apply product rule in f'(x) to find out f"(x)
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OpenStudy (anonymous):
I thought second derivitive was the derivitive of the first?